#### Headbutt88

##### New member

- Joined
- Jan 28, 2019

- Messages
- 2

1 - Write down the coordinates of the points A and B.

2 - Find the gradient of the line that passes through the points Aand B, clearly showing each step of your method.

3 - Find the equation of the line that passes through the point (3, 2)and has slope 2/5 (2 over 5) .

4 - Determine whether or not the point (4, 3) lies on the line found inpart (3), clearly showing each step of your method.

5 - Find the x-intercept of the line found in part (3), clearly showingeach step of your method.

This question investigates the relationship between the cost of fire damage(in thousands of pounds) in major residential fires and the distance(in kilometres) between the residence and the nearest fire station. Based ondata collected from a group of residential districts, a scatterplot wasproduced with the regression line included. The distance from the nearestfire station was displayed on the horizontal axis and cost of damage on thevertical axis.

1 - Describe three features of a scatterplot that might help us to explainthe relationship between the two variables being investigated.

2 - The regression line for the investigation is y = 4.88x + 5.34. What dothe x and y variables represent here?

3 - The correlation coefficient r for the investigation is 0.93. What does thistell you?

4 - Use the regression equation from part (2) to predict the cost of firedamage caused by a fire at a residence located 4 kilometres from thenearest fire station.

5 - Can you conclude from this investigation that distance from the nearestfire station determines the cost of the fire damage caused? Explain youranswer.

6 - If the correlation coefficient for this investigation had been 0.99, wouldthis have changed the answer that you gave to part (5)? Explain yourreasoning.